Finding the Third Proportional to 1,268.79 and 2,681.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,268.79 : 2,681.23 = 2,681.23 : x
2. Step 2: Convert to fraction form
   1,268.79/2,681.23 = 2,681.23/x
3. Step 3: Cross multiply
   1,268.79x = 2,681.23 × 2,681.23
4. Step 4: Simplify right side
   1,268.79x = 7,188,975.88
5. Step 5: Solve for x
   x = 7,188,975.88/1,268.79
6. Step 6: Final answer
   x = 5,666.01